Question

Sum of the first $30$ coefficients in the expansion of $(1+x{)}^{59}$, when expanded in ascending power of $x$ is

• A. $2^{59}$
• B. $2^{58}$
• C. $2^{30}$
• D. $2^{29}$

Answer 1

Answer: (B)

$2^{58}$

Total terms in the expansion of $(1+x{)}^{59}=59+1=60$
Sum of first $30$ terms
$=\frac{\text{Sum of all the terms}}{2}=\frac{2^{59}}{2}=2^{58}$